Prime p₀= 1094127231589256159 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 6 6 24 36 4 24 2 24 4 36 24 6 6 38 (?)
a_n: 0 38 44 50 74 110 114 138 140 164 168 204 228 234 240 278
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: crashtech
db: batch=76, k=16, 38 6 6 24 36 4 24 2

SPT(16)	1094125665459139549	0 12 42 64 70 82 84 108 304 328 330 342 348 370 400 412	-1566130116610
STPT(10)	1094126555345944661	0 2 30 32 78 80 126 128 156 158	-676243311498
SPT(16)	1094126852462078671	0 12 70 96 118 130 168 196 222 250 288 300 322 348 406 418	-379127177488
STPT(10)	1094127054296908547	0 2 24 26 42 44 60 62 84 86	-177292347612
SPT(16)	1094127083642591567	0 6 20 32 50 72 84 86 90 92 104 126 144 156 170 176	-147946664592
STPT(10)	1094127162988844597	0 2 30 32 42 44 54 56 84 86	-68600411562
STPT(10)	1094127244446214829	0 2 12 14 90 92 168 170 180 182	12856958670
STPT(10)	1094127275473249289	0 2 18 20 30 32 42 44 60 62	43883993130
STPT(10)	1094127762740642711	0 2 6 8 48 50 90 92 96 98	531151386552
SPT(16)	1094127768816527287	0 6 10 22 34 64 100 166 360 426 462 492 504 516 520 526	537227271128
SPT(16)	1094127783926104429	0 12 28 40 144 162 178 214 228 264 280 298 402 414 430 442	552336848270